Abstract
An L-function involved in the enumeration of certain families of irreducible polynomials over a finite field is studied. For a number of cases, we confirm the hypothesis on zeros of that function, which is an analog of the hypothesis of Riemann and Weyl postulated for algebraic varieties over finite fields.
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Additional information
Translated fromAlgebra i Logika, Vol. 35, No. 4, pp. 476–495, July–August, 1996.
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Fomenko, M.N. SomeL-functions of a polynomial ring over a finite field. Algebr Logic 35, 266–278 (1996). https://doi.org/10.1007/BF02367029
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DOI: https://doi.org/10.1007/BF02367029